• Port-Hamilton Modeling, Structure-preserving Approximations
• Model reduction techniques, asymptotic modeling, space-mapping approach
• Kinetic modeling, Fokker-Plank equations
• Modeling of stochastic processes, Monte-Carlo-methods
• Numerical investigation of initial boundary value problems, PDAEs, stochastically driven PDEs
• ...

• Fluid Dynamics and Solid Mechanics
• Modeling and Simulation of Energy Networks
• Dynamic Processes in Life Science 

The thesis can be also written in cooperation with the Fraunhofer Institute for Industrial Mathematics (ITWM) in Kaiserslautern or an industrial enterprise, preceded by an internship at the external institute or enterprise. Just contact us if you are interested to do so.